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Finding the Fourth Proportional to 147,592.49, 221,390.01 and 42,411.42

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Solution

The fourth proportional to 147,592.49, 221,390.01 and 42,411.42 is: 63,617.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,592.49 : 221,390.01 = 42,411.42 : x
  2. Step 2: Convert to fraction form
    147,592.49/221,390.01 = 42,411.42/x
  3. Step 3: Cross multiply
    147,592.49x = 221,390.01 × 42,411.42
  4. Step 4: Simplify right side
    147,592.49x = 9,389,464,697.91
  5. Step 5: Solve for x
    x = 9,389,464,697.91/147,592.49
  6. Step 6: Final answer
    x = 63,617.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.